GÖllnitz-Gordon identities and parity questions

Sun Kim; Ae Ja Yee

doi:10.1016/j.ejc.2010.10.006

GÖllnitz-Gordon identities and parity questions

Sun Kim^*
, Ae Ja Yee

^*Corresponding author for this work

Department of Mathematics

University of Illinois at Urbana-Champaign
Pennsylvania State University

Research output: Contribution to journal › Journal article › peer-review

3 Scopus citations

Abstract

Parity has played a role in partition identities from the beginning. In his recent paper, George Andrews investigated a variety of parity questions in partition identities. At the end of his paper, he then listed 15 open problems. The purpose of this paper is to provide solutions to the first three problems from his list, which are related to the GÖllnitz-Gordon identities and their generalizations.

Original language	English
Pages (from-to)	288-293
Number of pages	6
Journal	European Journal of Combinatorics
Volume	32
Issue number	2
DOIs	https://doi.org/10.1016/j.ejc.2010.10.006
State	Published - 2011.02

Access to Document

10.1016/j.ejc.2010.10.006

Cite this

@article{8f942273fa964b8bbfb4be3c678fe878,

title = "G{\"O}llnitz-Gordon identities and parity questions",

abstract = "Parity has played a role in partition identities from the beginning. In his recent paper, George Andrews investigated a variety of parity questions in partition identities. At the end of his paper, he then listed 15 open problems. The purpose of this paper is to provide solutions to the first three problems from his list, which are related to the G{\"O}llnitz-Gordon identities and their generalizations.",

author = "Sun Kim and Yee, \{Ae Ja\}",

year = "2011",

month = feb,

doi = "10.1016/j.ejc.2010.10.006",

language = "English",

volume = "32",

pages = "288--293",

journal = "European Journal of Combinatorics",

issn = "0195-6698",

number = "2",

}

TY - JOUR

T1 - GÖllnitz-Gordon identities and parity questions

AU - Kim, Sun

AU - Yee, Ae Ja

PY - 2011/2

Y1 - 2011/2

N2 - Parity has played a role in partition identities from the beginning. In his recent paper, George Andrews investigated a variety of parity questions in partition identities. At the end of his paper, he then listed 15 open problems. The purpose of this paper is to provide solutions to the first three problems from his list, which are related to the GÖllnitz-Gordon identities and their generalizations.

AB - Parity has played a role in partition identities from the beginning. In his recent paper, George Andrews investigated a variety of parity questions in partition identities. At the end of his paper, he then listed 15 open problems. The purpose of this paper is to provide solutions to the first three problems from his list, which are related to the GÖllnitz-Gordon identities and their generalizations.

UR - https://www.scopus.com/pages/publications/78049504975

U2 - 10.1016/j.ejc.2010.10.006

DO - 10.1016/j.ejc.2010.10.006

M3 - Journal article

AN - SCOPUS:78049504975

SN - 0195-6698

VL - 32

SP - 288

EP - 293

JO - European Journal of Combinatorics

JF - European Journal of Combinatorics

IS - 2

ER -

GÖllnitz-Gordon identities and parity questions

Abstract

Access to Document

Other files and links

Fingerprint

Cite this